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Applied Magnetic Field Using External Field Calculator

Formula Used:

\[ B_{eff} = B \times (1 - \sigma) \]

A/m
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1. What is the Applied Magnetic Field Formula?

The Applied Magnetic Field formula calculates the effective magnetic field experienced by atoms or molecules, accounting for local field effects. It represents the net magnetic field after considering the shielding or enhancement from local atomic environments.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ B_{eff} = B \times (1 - \sigma) \]

Where:

Explanation: The formula accounts for the reduction or enhancement of the external magnetic field due to local atomic and molecular interactions, where σ represents the local field contribution.

3. Importance of Applied Magnetic Field Calculation

Details: Accurate calculation of the applied magnetic field is crucial for understanding magnetic resonance phenomena, material characterization, and various applications in physics and engineering where magnetic field interactions are significant.

4. Using the Calculator

Tips: Enter external magnetic field strength in A/m and local field value (between 0 and 1). Both values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What do local fields (σ) represent?
A: Local fields represent the magnetic field contribution from local atoms and molecules that either shield or enhance the external magnetic field.

Q2: What are typical values for σ?
A: σ typically ranges between 0 and 1, where 0 means no local field effect and values closer to 1 indicate significant local field contributions.

Q3: When is this calculation most relevant?
A: This calculation is particularly important in NMR spectroscopy, MRI applications, and studies of magnetic materials where local field effects significantly influence the overall magnetic behavior.

Q4: Are there limitations to this formula?
A: The formula assumes a linear relationship and may not account for complex non-linear interactions in certain materials or extreme field conditions.

Q5: What units should be used for the magnetic field?
A: While A/m (Ampere per meter) is used here, other units like Tesla can be converted and used with appropriate scaling factors.

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